Optimization car travel problem

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Homework Help Overview

The problem involves optimizing travel time for an amphibian vehicle moving between two points, A and C, with a point B in between. The vehicle has different speeds on land and water, which affects the overall travel time.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster considers minimizing the area of a triangle formed by the points A, B, and C, questioning how the differing speeds impact the time taken for the journey.

Discussion Status

Participants are exploring various interpretations of the problem. Some guidance has been offered through a link to an external resource, suggesting that there may be relevant examples to consider.

Contextual Notes

The problem setup includes specific distances and speeds, which may influence the assumptions about the optimal path. There is a lack of consensus on the best approach to take, and participants are still seeking clarity.

Black_Hole???
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I have been working on this problem for 30 min and can;t seem to get anywhere.


Question

You have a amphibian vehicle which can travel 20 mph on the water and 52 mph on the land. You must find the quickest point from point A to C.

-A is 20 Miles east of point B and is all land.
-C is 12 miles north of point B and is all water.

-Calculate the minimum time.



My thinking

At the moment i can only think so find where the area of the triangle has minimum area. Because traveling in water is hurts the time when going on land is 2.6 times faster.

If anyone has any ideas to this problem that be great. Ill keep working on it.
 
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